Answer:
Option C
Step-by-step explanation:
Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.
Segment YZ will the midsegment of trapezoid ABCD.
By the theorem of midsegment,
m(YZ) = 
By using expression for the length of a segment between two points,
Length of a segment = 
Distance between two points A(-5, -6) and D(3, 2),
AD = 
AD = 
AD = 
AD = 
Distance between B(-6, -2) and C(-4, 0)
BC = 
BC = 
BC = 
Therefore, m(YZ) = 
= 
= 
Option C will be the answer.
Answer:
I'm not sure what you want me to answer from this, so I solved for every variable:
Angle A: 83°
Side b: 6.29
Side c: 5.8
Step-by-step explanation:
-----Angle A:
Since the sum of the interior angles of a triangle ALWAYS equal 180°, we can solve for angle A as follows:

-----Side b:
Here, we use the sin rule for finding sides, since we know all of the angles as well as one side:

-----Side c:

Answer:


Step-by-step explanation:
<h3><u>Question 12</u></h3>
Find the slope of the line by substituting two points from the given table into the slope formula.
<u>Define the points</u>:
- Let (x₁, y₁) = (2, 7)
- Let (x₂, y₂) = (3, 13)

Substitute the found slope and point (2, 7) into the point-slope formula to create an equation of the line:




<h3><u>Question 17</u></h3>
Given:
Therefore, two points on the line are:
The y-intercept is the y-value when x = 0.
Therefore, the y-intercept of the line is -2.

Substitute the y-intercept and the point (4, 3) into the slope-intercept formula and solve for <em>m</em> to find the slope:




Therefore, the equation of the line is:
